Q: What are the prime factors of the number 143,834,674?

 A: 2, 19, 73, 2729

Why are those the prime factors of the number 143,834,674?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 143,834,674

143,834,674
Factor Arrows
271,917,337
Factor Arrows
193,785,123
Factor Arrows
19199,217
Factor Arrows
732,729

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 19, 73, 2729

We can check our work by multiplying all of the prime factors together: 2 x 19 x 19 x 73 x 2,729 = 143,834,674

This can also be written as 21 x 192 x 731 x 2,7291 = 143,834,674

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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